What Numbers Satisfy This Inequality? - IMO 1962 Problem 2

Solve problem 2 from the 1962 International Mathematical Olympiad in this 27-minute video. Tackle a challenging square root function inequality, determining all real numbers that make it greater than 1/2. Apply techniques such as function analysis, the Intermediate Value theorem, and algebraic manipulation to arrive at the solution. Follow along as the problem is broken down step-by-step, with timestamps provided for easy navigation through different sections of the explanation. Gain insights into problem-solving strategies for math olympiad and competition-level questions, preparing for future challenges in mathematical reasoning and analysis.